Multiple phase slips phenomena in mesoscopic superconducting rings

Abstract

We investigate the behavior of a mesoscopic one-dimensional ring in an external magnetic field by simulating the time dependent Ginzburg-Landau equations with periodic boundary conditions. We analyze the stability and the different possible evolutions for the phase slip phenomena starting from a metastable state. We find a stability condition relating the winding number of the initial solution and the number of flux quanta penetrating the ring. The analysis of multiple phase slips solutions is based on analytical results and simulations. The role of the ratio of two characteristic times u is studied for the case of a multiple phase slips transition. We found out that if u>>1, consecutive multiple phase slips will be more favorable than simultaneous ones. If u<<1 the opposite is true and we confirm that u>>1 is often a necessary condition to reach the ground state. The influence of the Langevin noise on the kinetics of the phase transition is discussed.

8 pages, 6 figures

References in corpus (4)

• The World of the Complex Ginzburg-Landau Equation
• Condition of the occurrence of phase slip centers in superconducting nanowires under applied current or voltage
• Multiple flux jumps and irreversible behavior of thin Al superconducting rings
• Dynamic transitions between metastable states in a superconducting ring

Cited by in corpus (7)

• Current-voltage characteristic of narrow superconducting wires: bifurcation phenomena
• Dynamics of resistive state in thin superconducting channels
• Electromagnetic Response during a Quench Dynamics to Superconducting State: Time-Dependent Ginzburg-Landau Analysis
• Phase slip phenomena in superconductors: from ordered to chaotic dynamics
• Coherent topological defect dynamics and collective modes in superconductors and electronic crystals
• Time-resolved density correlations as probe of squeezing in toroidal Bose-Einstein condensates
• The bifurcation phenomena in the resistive state of the narrow superconducting channels